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Finding the Fourth Proportional to 1,980.86, 2,974.69 and 1,759

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Solution

The fourth proportional to 1,980.86, 2,974.69 and 1,759 is: 2,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.86 : 2,974.69 = 1,759 : x
  2. Step 2: Convert to fraction form
    1,980.86/2,974.69 = 1,759/x
  3. Step 3: Cross multiply
    1,980.86x = 2,974.69 × 1,759
  4. Step 4: Simplify right side
    1,980.86x = 5,232,479.71
  5. Step 5: Solve for x
    x = 5,232,479.71/1,980.86
  6. Step 6: Final answer
    x = 2,641.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.